Grade 5 Curriculum
Below are skills needed, with links to resources to help with that skill. We also encourage plenty of exercises and book work. Curriculum Home
Important: this is a guide only.
Check with your local education authority to find out their requirements.
Grade 5 | Multiplication
Use a variety of strategies to multiply three-digit by three-digit numbers Note: Multiplication by anything greater than a three-digit multiplier/ multiplicand should be done using technology.
Understand how to multiply by negative numbers
Develop fluency with multiplication facts up to 12x
Grade 5 | Division
Use a variety of strategies to divide three-digit or four-digit numbers by one-digit or two-digit numbers Note: Division by anything greater than a two-digit divisor should be done using technology.
Easily test if one number can be evenly divided by another by using divisibility rules.
Grade 5 | Numbers
Read and write whole numbers to millions
Recognize that some numbers are only divisible by one and themselves (prime) and others have multiple divisors (composite)
Calculate multiples of a whole number and the least common multiple of two numbers
Identify the factors of a given number
Find the common factors and the greatest common factor of two numbers
Evaluate an arithmetic expression using order of operations including multiplication, division, addition, subtraction and parentheses
Compare and order numbers to millions
Round numbers to the nearest hundredth and up to the nearest 10,000
Understand the place value structure of the base ten number system:
* 10 ones = 1 ten
* 10 tens = 1 hundred
* 10 hundreds = 1 thousand
* 10 thousands = 1 ten thousand
* 10 ten thousands = 1 hundred thousand
* 10 hundred thousands = 1 million
Understand the difference between a factor and a multiple of an integer.
Grade 5 | Decimals
Compare decimals using <, >, or =
Use a variety of strategies to add, subtract, multiply, and divide decimals to thousandths
Read, write, and order decimals to thousandths
Convert percents to decimals
Grade 5 | Fractions
Simplify fractions to lowest terms
Convert improper fractions to mixed numbers, and mixed numbers to improper fractions
Use a variety of strategies to add and subtract fractions with like denominators
Add and subtract mixed fractions with like denominators
Estimate sums and differences of fractions with unlike denominators.
Create equivalent fractions, given a fraction
Compare and order fractions including unlike denominators (with and without the use of a number line) Note: Commonly used fractions such as those that might be indicated on ruler, measuring cup, etc.
Compare fractions using <, >, or =
Add, subtract, multiply and divide fractions (including mixed fractions) whose denominators are powers of ten - decimal fractions.
Divide a fraction by a whole number
Multiply a fraction by a whole number
Express decimals as an equivalent form of fractions with denominators that are powers of 10, and simplify to lowest terms.
Convert percents to fractions
Grade 5 | Percentages
Understand that percent means part of 100
Convert fractions or decimals to percents
Grade 5 | Ratios
Understand the concept of ratio
Express ratios in different forms
Grade 5 | Measurement
Use a ruler to measure to the nearest centimeter or millimeter
Determine personal references for metric units of length
Identify customary equivalent units of length (metric)
Convert lengths within the metric system
Determine the tools and techniques required to measure with an appropriate level of precision: lengths and angles
Measure and draw angles using a protractor
Understand Temperature
Understand the Celsius and Fahrenheit temperature scales, including the freezing and boiling points of water on the two scales
Use a ruler to measure to the nearest inch, 1/2, 1/4 or 1/8 inch
Determine personal references for US standard units of length
Identify customary equivalent units of length (US)
Convert lengths within the US system
Grade 5 | Time
Calculate elapsed time in hours and minutes
Convert times in minutes and seconds to seconds, or hours and minutes to minutes
Grade 5 | Geometry (Plane)
Evaluate the perimeter formula for given input values
Calculate the perimeter of regular and irregular polygons
Identify corresponding parts of congruent triangles
Identify and draw lines of symmetry of basic geometric shapes
Plot points to form basic geometric shapes (identify and classify)
Calculate perimeter of basic geometric shapes drawn on a coordinate plane (rectangles and shapes composed of rectangles having sides with integer lengths and parallel to the axes)
Identify pairs of similar triangles, or other geometrical shapes
Identify the ratio of corresponding sides of similar triangles
Classify quadrilaterals by properties of their angles and sides
Know that the sum of the interior angles of a quadrilateral is 360 degrees
Classify triangles by properties of their angles and sides
Know that the sum of the interior angles of a triangle is 180 degrees
Find a missing angle when given two angles of a triangle
Identify pairs of congruent triangles, or other geometrical shapes
Know that a right angle is 90 degrees, a straight angle is 180 degrees and a full circle is 360 degrees.
Understand what is meant by the order of rotational symmetry of a plane shape, and know how to find its value.
Understand what is meant by regular and irregular polygons; convex and concave polygons; and complex polygons.
Understand what is meant by point symmetry
Understand what is meant by the vertex of an angle and adjacent angles
Grade 5 | Geometry (Solid)
Understand the Platonic Solids
Construct models of polyhedra (including the Platonic solids) from their nets.
Understand polyhedrons and classify them as Platonic solids, prisms, pyramids etc
Grade 5 | Algebra
Define and use appropriate terminology when referring to constants, variables, operators, coefficients and algebraic expressions
Translate simple verbal expressions into algebraic expressions
Substitute assigned values into variable expressions and evaluate using order of operations
Solve simple one-step equations using basic whole-number facts
Solve and explain simple one-step equations using inverse operations involving whole numbers
Create and explain patterns and algebraic relationships (example: 2,4,6,8... is algebraically 2n (doubling))
Create algebraic or geometric patterns using concrete objects or visual drawings (e.g., rotate and shade geometric shapes)
Know the difference between a closed sentence and an open sentence.
Grade 5 | Coordinates
Identify and plot points in the first quadrant
Grade 5 | Logic
Use logical reasoning to solve problems involving various skills
Grade 5 | Data
Collect and record data from a variety of sources (e.g., newspapers, magazines, polls, charts, and surveys)
Display data in a line graph to show an increase or decrease over time
Calculate the mean for a given set of data and use to describe a set of data
Formulate conclusions and make predictions from graphs
Grade 5 | Estimation
Justify the reasonableness of estimates
Estimate sums, differences, products, and quotients of decimals
Justify the reasonableness of answers using estimation
Grade 5 | Probability
List the possible outcomes for a single-event experiment
Record experiment results using fractions/ratios
Create a sample space and determine the probability of a single event, given a simple experiment (e.g., rolling a number cube)
Locate probabilities on a probability number line, and know the meaning of the probabilities 0, 1/2 and 1.